Deformations of Riemann Surfaces
classification
🧮 math.CV
keywords
riemannadmitscomplexdeformationdeformationseverygeodesicsinfinitesimal
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We prove that every Riemann surface not isomorphic to the Riemann sphere admits an infinitesimal deformation of the complex structure. The proof is based in an investigation of the length of geodesics for the Kobayashi/Poincare metric.
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